LOL, I'd like to see some thermal images showing how (in)effective that is.
If you look at the design of real heat sink devices, you'll see that there's not enough cross sectional area there to do much of anything. Copper is a wonderful conductor of heat, but there isn't enough of a cross section to pull much heat from the cylinder. What will happen is that the part that is (blocking) the exit cooling area will be at the temperature of the air coming off the cylinder. That may well be lower than the cylinder flange where the part is bolted on, but the small and thin cross section creates a thermal resistance that impedes the conduction of heat from one part to the other.
On top of that, the big vanes block a significant percentage of the outlet area, so it may well result in a hotter engine.
Surprisingly enough, effective cooling systems require actual design work, wherein there are some things you need to understand. Almost like it were engineering or something.......